Speakers

Research Interest: Numerical Linear Algebra, Computational Mathematics, Scientific Computing, Fast Algorithms.

Title: Smoothed Analysis of Kernel Matrix Ranks: Understanding Rank Growth of Kernel Matrices for Randomized Particle Distributions

Research Interest: Developing and optimizing computational algorithms for scientific high-performance computing, Sparse linear algebra, Iterative and asynchronous methods, Krylov solvers, Preconditioning.

Title: Mixed Feeling about Mixed Precision: Can we adapt Numerical Algorithms to AI Hardware?

Research Interest: Computational Fluid Dynamics, Finite Element and Discontinuous Galerkin Methods, Parallel Computing, Compressible Flows, MHD, Shallow Water Well-balanced scheme, and Shape Optimization.

Title: Continuous Galerkin method for compressible flows

Research Interest: Numerical methods for PDEs, Scientific Computing, High-Performance Computing, Design and development of numerical software, Cut-cell methods, Numerical methods for surface PDEs and geometric PDEs, Biomedical Applications.

Title: Efficient simulation and discretization methods for brain source analysis

Research Interest: Multi-scale modeling and numerical solutions, Stochastic PDEs, Biophysics, Mathematical biology.

Title: The role of sub-dyadic structure for whole cell behavior – multiscale modelling for cardiology

Research Interest: Numerical Analysis and Partial Differential Equations, Finite element methods for the PDEs, Adaptive FEM, and its convergence analysis.

Title: C0-IP methods for optimal control problems governed by the PDEs in nondivergence form: Formulations and Approximations.

Research Interest: Numerical analysis, Multiscale methods, Spatial network models, Discretization of nonlinear Schrödinger problems.

Title: Iterative solution of Timoshenko beam network models

Research Interest: Stabilized methods for convection-dominated problems, Analysis and simulation of turbulent flows, large eddy simulation (LES), variational multiscale methods (VMS), adaptive methods, and a posteriori error estimators for PDEs.

Title: Some experiences in using ML techniques for the numerical solution of PDEs

Research Interest: Software Engineering for High Performance Computing and Data Analytics, Focus lies on code generation technology for numerical solvers or machine learning methods on (block)-structured data.

Title:

Research Interest: Implicit high-resolution schemes, Convection-dominated transport, Navier-Stokes and Euler equations, Multiphase flows (gas-liquid), Free and moving boundaries.

Title: Convex limiting and entropy fixes for finite element discretizations of nonlinear hyperbolic problems

Research Interest: Scalable algorithms for emerging computing architectures, Quantum modeling of materials, Finite-element methods, Quantum computing for scientific computations, ML frameworks for accelerated materials discovery.

Title: “A subspace iteration eigensolver tolerant to approximate matrix-vector multiplications: Applications to quantum modeling of materials in the exascale era

Research Interest: Numerical Solution of Singular Perturbation Problems, Homogenization, Multi-Scale Problems, CFD, Domain decomposition methods, Big Data Analytics – Machine Learning.

Title: Robust Numerical Methods for Singularly Perturbed Biharmonic Problems: Weak Galerkin FEM and Physics-Informed Neural Networks

Research Interest: Construction, stability and convergence analysis of FEM, FD schemes, partial integro differential equations, evolutionary variational inequalities, and scientific computations.

Title: TBA

Research Interest: Particle methods and meshfree methods for CFD, Scientific computing, Parallel and high-performance computing, Machine learning for numerical computation, Applied scientific data visualization.

Title: Adaptive Resolution for SPH with Reproducible Open Source Software

Research Interest: Finite Element Methods, Fluid mechanics and fluid-structure interactions, Multigrid Solvers, Multiscale Modeling and Simulation, Scientific Machine Learning, Climate Modeling and Simulation, Software development, Error estimation and adaptive discretizations.

Title: Numerics of fluid-rigid body interactions

Research Interest: Finite element methods for partial differential equations, Applications in medicine, Optimal control and inverse problems, Multi-scale and multi-physics problems, Function space oriented numerics, Generic and object-oriented implementations.

Title: Adaptive solvers for cardiac electrophysiology simulations

Research Interest: Design, implementation, and analysis of numerical algorithms and space-time methods for nonstationary, Nonlinear, coupled PDE systems and variational inequalities within the fields of CFD, solid mechanics, fluid-structure interaction, thermoporoelasticity, and crack propagation problems in elasticity and poroelasticity.

Title: Multigoal-oriented error estimation and adaptivity for coupled problems

Research Interest: Computational cardiology, Cardiac modelling, Cardiac mechanics, Numerical methods, and Scientific computing.

Title: Multigoal-oriented error estimation and adaptivity for coupled problems

Research Interest: Partial differential equations and Numerical Analysis, Theory and numerics of hyperbolic conservation laws and Hamilton-Jacobi equations.

Title: A convergent MUSCL-Hancock Scheme for non-Local Conservation Laws

Research Interest: Development of simulation software for the solution of PDEs, Development of discretization methods for PDEs, HPC, and Modeling of transport processes, especially in porous media.

Title: Efficient, Hybrid-Parallel Linear Algebra for Sparse Matrices

Research Interest: Numerical methods for PDEs and scientific computing, in particular, solvers and discretizations based on domain decomposition and multiscale approaches.

Title: Neural Network-Based Models for Physical Systems: Analysis, Domain Decomposition, and Preconditioning

Research Interest: Partial differential equations and Numerical Analysis, Scientific Computing, Adaptive Finite Element Methods, and Optimal control of PDEs.

Title: TBA

Research Interest: Development of new DG and FV methods, Development of stable cut cell methods, Limiters, Structure-preserving methods, optimal control of PDEs.

Title: The DoD Stabilization to solve the small cell problem

Research Interest: Finite Element Methods, A Posteriori Error Analysis, Nonlinear Elliptic PDEs, Optimal Control Problems.

Title: Adaptive quadratic finite element method for a unilateral contact problem

Research Interest: Numerical analysis and scientific computing, FEM/DG methods.

Title: Three and four fields mixed formulations for  poroelasticity

Research Interest: A priori and a posteriori error analysis, Evolution Problems with Memory, Inverse problems, Numerical Analysis, Numerical methods to PDEs, Stochastic PDEs.

Title: Elliptic reconstruction and a posteriori error estimates for parabolic partial differential equations with small random input data

Research Interest: Large scale simulations of turbulent combustion relevant to gas turbine and scramjet engines, development of scalable asynchronous numerical methods and simulation algorithms for solving PDEs on massively parallel computing systems, and acceleration of PDE solvers using machine learning methods.

Title: Scalable asynchrony-tolerant numerical fluxes for DG solvers

Research Interest: Numerical analysis, Partial differential equations, Finite element methods

Title: Local Discontinuous Galerkin Method for Kelvin-Voigt Viscoelastic Fluid Flow Model

Research Interest: Numerical solution for hyperbolic PDE’s, Mesh adaptation for singularly perturbed problems, Application of Deep learning in PDE’s approximation, Deep learning for computer vision problems.

Title: Data Driven WENO schemes for hyperbolic conservation laws

Research Interest: Tensor Decompositions, Neural Networks, Numerical Linear Algebra, Generalized Inverses of Tensors, Wavelets in Scientific Computing, High-Performance Computing.

Title: Neural Network Models for the Dynamic Moore-Penrose Inverse of Tensors

Research Interest: Numerical Schemes and Scientific Computing, Mathematical Modeling, Theoretical and Numerical Analysis.

Title: Semi and fully discrete analysis of extended Fisher–Kolmogorov equation with nonstandard FEMs for space discretization

Research Interest: Partial Differential Equations, Hyperbolic Conservation Laws, Analysis of Numerical Algorithms for PDE-based models of multidisciplinary applications

Title: Non-Local Conservation Laws, Modelling Traffic Flow and Crowd Dynamics